Results 91 to 100 of about 126,630 (242)

Convolutions Induced Discrete Probability Distributions and a New Fibonacci Constant [PDF]

arXiv, 2010
This paper proposes another constant that can be associated with Fibonacci sequence. In this work, we look at the probability distributions generated by the linear convolution of Fibonacci sequence with itself, and the linear convolution of symmetrized Fibonacci sequence with itself.
arxiv  

From Fibonacci Sequence to the Golden Ratio [PDF]

Journal of Mathematics, 2013
We consider the well-known characterization of the Golden ratio as limit of the ratio of consecutive terms of the Fibonacci sequence, and we give an explanation of this property in the framework of the Difference Equations Theory. We show that the Golden ratio coincides with this limit not because it is the root with maximum modulus and multiplicity of
FIORENZA, ALBERTO, VINCENZI G.
openaire   +5 more sources

Connectivity of Markoff mod‐p graphs and maximal divisors

Proceedings of the London Mathematical Society, Volume 130, Issue 2, February 2025.
Abstract Markoff mod‐p$p$ graphs are conjectured to be connected for all primes p$p$. In this paper, we use results of Chen and Bourgain, Gamburd, and Sarnak to confirm the conjecture for all p>3.45·10392$p > 3.45\cdot 10^{392}$. We also provide a method that quickly verifies connectivity for many primes below this bound.
Jillian Eddy, Elena Fuchs, Matthew Litman, Daniel E. Martin, Nico Tripeny   +4 more
wiley   +1 more source

On Doubled and Quadrupled Fibonacci Type Sequences

Annales Mathematicae Silesianae
In this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma, Włoch Andrzej, Özkan Engin, Strzałka Dominik   +3 more
doaj   +1 more source

$\mathcal{H}$-Nacci Sequence and Its Role in Virus Mutation

Mathematics
In this research, we proposed a new concept called as the H-Nacci sequence. The H-Nacci sequence (Fibonacci sequences of length h) is a collection of numbers developed from the coefficients of the generalized m-th Fibonacci equation.
Muflih Alhazmi, Rexma Sherine Venchislas, Gerly Thaniel Gnanamuthu, Chellamani Perumal, Shreefa O. Hilali, Mashaer Alsaeedi, Avinash Natarajan, Britto Antony Xavier Gnanaprakasam   +7 more
doaj   +1 more source

The Matrix Sequence in terms of bi-periodic Fibonacci numbers [PDF]

arXiv, 2016
In this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summations of bi-periodic Fibonacci matrix sequence. After that, we say that some behaviours of bi-periodic Fibonacci numbers also can be obtained by considering properties of this ...
arxiv  

On the duals of the Fibonacci and Catalan-Fibonacci polynomials and Motzkin paths [PDF]

arXiv, 2021
We use the inversion of coefficient arrays to define dual polynomials to the Fibonacci and Catalan-Fibonacci polynomials, and we explore the properties of these new polynomials sequences. Many of the arrays involved are Riordan arrays. Direct links to the counting of Motzkin paths by different statistics emerge.
arxiv  

Formulas for Fibonacci-Like Sequences Produced by Pascal-Like Triangles [PDF]

, 2017
In this paper we are going to present three formulas to express Fibonacci-like sequences with the Fibonacci sequence. We constructed Pascal-like triangles using probabilities of a game, and these Pascal-like triangles can be considered generalizations ...
Matsui, Hiroshi, Yamauchi, Toshiyuki
core   +1 more source

Polynomial values in Fibonacci sequences

Involve, a Journal of Mathematics, 2020
The only perfect powers in the Fibonacci sequence are 0, 1, 8, and 144, and in the Lucas sequence, the only perfect powers are 1 and 4. We prove that in sequences that follow the same recurrence relation of the Lucas and Fibonacci sequences, there are always only finitely many polynomial values g(ℤ) for any polynomial g which is not equivalent to a ...
Ostrov, Adi, Neftin, Danny, Berman, Avi, Elrazik, Reyad A.   +3 more
openaire   +3 more sources

The Safety, Tolerability, and Pharmacokinetics of Active Ingredients From Hydroxysafflor Yellow A in Healthy Chinese Volunteers

Clinical Pharmacology in Drug Development, Volume 14, Issue 1, Page 79-86, January 2025.
Abstract Hydroxysafflor yellow A (HSYA), an active ingredient extracted from Carthami flos, shows potential for treating ischemic stroke. This phase 1 study assessed the safety, tolerability, and pharmacokinetic (PK) properties of HSYA in healthy Chinese volunteers who received intravenous infusions of pure HSYA powder.
Xiuli Zhao, Shanye Gu, Xia wang, Yefeng Cai, Ziyi Zhou   +4 more
wiley   +1 more source